790480 has 40 divisors (see below), whose sum is σ = 1890504. Its totient is φ = 307200.

The previous prime is 790459. The next prime is 790481. The reversal of 790480 is 84097.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 767376 = 152^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3160 + ... + 3400.

2⁷⁹⁰⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945252).

790480 is an abundant number, since it is smaller than the sum of its proper divisors (1100024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

790480 is a wasteful number, since it uses less digits than its factorization.

790480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 790480 is about 889.0894218244. The cubic root of 790480 is about 92.4620735678.

The spelling of 790480 in words is "seven hundred ninety thousand, four hundred eighty".